Mean Aerodynamic Chord For Propeller-Driven Airplane Calculator

Mean Aerodynamic Chord Formula:

\[ \text{Mean Aerodynamic Chord} = \frac{1}{S} \int_{-b/2}^{b/2} L_c^2 dx \]

Mean Aerodynamic Chord:

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is Mean Aerodynamic Chord?

The Mean Aerodynamic Chord (MAC) is a two-dimensional representation of the whole wing that provides a characteristic chord length for aerodynamic calculations. It's particularly important for stability and control analysis of aircraft.

2. How Does the Calculator Work?

The calculator uses the Mean Aerodynamic Chord formula:

\[ \text{MAC} = \frac{1}{S} \int_{-b/2}^{b/2} L_c^2 dx \]

Where:

\( S \) — Reference Area (m²)
\( L_c \) — Chord Length (m)
\( b \) — Wingspan (m)
\( dx \) — Integration variable along the wingspan

Explanation: The formula calculates the mean aerodynamic chord by integrating the square of the chord length along the wingspan and dividing by the reference area.

3. Importance of Mean Aerodynamic Chord

Details: The MAC is crucial for determining the aerodynamic center of the wing, calculating pitching moments, and designing stable aircraft configurations. It provides a standardized reference for comparing different wing designs.

4. Using the Calculator

Tips: Enter reference area in square meters, chord length in meters, and wingspan in meters. All values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: Why is Mean Aerodynamic Chord important in aircraft design?
A: MAC provides a standardized reference length for aerodynamic calculations, helping determine the center of pressure and aerodynamic center of the wing.

Q2: How does MAC differ from standard chord length?
A: While chord length varies along the wingspan, MAC represents an average chord that produces the same aerodynamic characteristics as the actual wing.

Q3: When is MAC calculation most critical?
A: MAC is particularly important for stability analysis, control surface sizing, and determining the neutral point of an aircraft.

Q4: Are there limitations to this calculation?
A: This calculation assumes a constant chord length along the wingspan. For tapered wings, more complex integration methods may be required.

Q5: How is MAC used in practice?
A: MAC is used to determine the aerodynamic center location, calculate pitching moments, and design stable aircraft configurations with proper balance.